Marks 5 - 7 8 - 10 11 - 13 14 -  16 17 - 19 20 - 22
Frequency 4 7 26 41 14 8

The table above shows the marks obtained by 100 pupils in a test. Find the upper class boundary of the class containing the third quartile.

A.

13.0

B.

16.0

C.

16.5

D.

22.5

Correct answer is C

The third quartile can be found in the \((\frac{3N}{4})^{th}\) position

= \((\frac{3 \times 100}{4})^{th}\) position

This is found in the class 14 - 16.

The upper class boundary = 16.5